Please let me know if there is any way to do a home microdermabrasion or skin-peeling without visiting a dermatologist?

Peeling: I do not know of any microdermabrasion that's a home kit. The microderm requires a good technique and could harm you. THe peel on the other hand can be done at home but the concentration of the agent will be low. Again you can harm yourself with a medical grade peel. THe peels you can get are salicylic acid 2-5% and glycolic acid likely 5-12%.